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Finding the Third Proportional to 479,527 and 716,007

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Solution

The third proportional to 479,527 and 716,007 is: 1,069,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,527 : 716,007 = 716,007 : x
  2. Step 2: Convert to fraction form
    479,527/716,007 = 716,007/x
  3. Step 3: Cross multiply
    479,527x = 716,007 × 716,007
  4. Step 4: Simplify right side
    479,527x = 512,666,024,049
  5. Step 5: Solve for x
    x = 512,666,024,049/479,527
  6. Step 6: Final answer
    x = 1,069,107.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.